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Title:Numerical Integration of Differential Equations Occurring in Two-Point Boundary Value Problems
Author(s):Jackson, R.B.; Robinson, A.R.
Subject(s):Differential equations
Boundary value problems
Abstract:An accurate procedure is described for numerically solving two-point boundary value problems which contain growing solutions. The procedure involves the process of reducing the order of a differential equation when one solution is known. Two applications of the procedure are given, a fourth order differential equation with two growing solutions and a system of eighth order differential equations of motion for a hemispherical shell. In both examples before the procedure is started, the equations are rewritten as a system of first order differential equations. It was found that when solving two-point boundary value problems by the reduction of order method, first order differential equations were generally easier to work with than higher order differential equations. For both applications a computer program was developed to solve the system of differential equations.
Issue Date:1979-01
Publisher:University of Illinois Engineering Experiment Station. College of Engineering. University of Illinois at Urbana-Champaign.
Series/Report:Civil Engineering Studies SRS-458
Genre:Technical Report
Sponsor:Office of Naval Research. Department of the Navy.
Contract No. N00014-75-C-0164
Project NR 064-183
Date Available in IDEALS:2009-10-08
Identifier in Online Catalog:355798

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